from manim import *
class CustomCurve(VMobject):
    def __init__(self, **kwargs):
        super().__init__(**kwargs)
        # 定义自定义曲线的控制点
        points = [
            [8, 3, 0],
            [6,-3,0],
            [3,-5,0],
            [6,-7,0],
            [8,-13,0],
        ]
        self.set_points_smoothly(points)
class CustomCurve1(VMobject):
    def __init__(self, **kwargs):
        super().__init__(**kwargs)
        # 定义自定义曲线的控制点
        points = [
            [18, 4, 0],
            [22,-12,0],
            [43,-16,0]
        ]
        self.set_points_smoothly(points)

class math1(MovingCameraScene):
    def construct(self):
        self.camera.background_color = BLACK  # 设置背景颜色
        self.camera.frame_width = 100  # 设置边框宽度
        self.camera.frame_height = 60  # 设置边框高度
        self.camera.pixel_height = 1080  # 设置像素高度
        self.camera.pixel_width = 1920  # 设置像素宽度
        self.camera.center = ORIGIN  # 设置中心点位置
        self.camera.scale_factor = 1.0  # 设置缩放因子
        #设置横线
        for i in range(6*2+1):       
            dot1=Dot([-50,5*(i-6),0]).set_opacity(0.5)
            dot2=Dot([50,5*(i-6),0]).set_opacity(0.5)
            if i==6:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
                
            else:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
               
            self.add(dot1,dot2,line1)
        #设置竖线
        for i in range(10*2+1):        
            dot3=Dot([(i-10)*5,-30,0]).set_opacity(0.5)
            dot4=Dot([(i-10)*5,30,0]).set_opacity(0.5)
            if i==10:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
                
            else:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
            self.add(dot3,dot4,line2)
        #设置三个点
        dot1 = Dot(radius=1, color=RED)  
        dot1.move_to([-47.5,27.5,0]) 
        dot2 = Dot(radius=1, color=YELLOW)  
        dot2.move_to([-42.5,27.5,0])  
        dot3 = Dot(radius=1, color=GREEN)  
        dot3.move_to([-37.5,27.5,0])
        #镜头跟进效果 
        self.camera.frame.save_state()
        #镜头跟进效果 
        self.camera.frame.save_state()
         #题目出现
        text = Tex(r"\text{(张1000题7)若反常积分$\int _{1}^{+\infty }\left( e^{-\cos \frac{1}{x}}-e^{-1}\right) x^{k}dx$\text{收敛,则k的范围:}}"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,20,0])
        

        self.play(Write(text))
        self.wait(0.1)
        #镜头拉回
          #分析文本
        #text100=MarkupText("<b><i>分析/解：</i></b>",color=PINK).scale(5.0).move_to([-38,12.5,0])
        self.play(Restore(self.camera.frame))
        self.play(FadeIn(dot1),run_time=0.1)
        self.play(FadeIn(dot2),run_time=0.1)
        self.play(FadeIn(dot3),run_time=0.1)
        #题目向上移动
        #self.play(text.animate().move_to([0,20,0]),text1.animate().move_to([-22,15,0]) ,text2.animate().move_to([22,15,0]),text3.animate().move_to([-22,8,0]),text4.animate().move_to([22,8,0]) )

        text1 = Tex(
                    r"\text{瑕点为}$+\infty $",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-36,0,0])
        self.play(Write(text1))
        text2 = Tex(
                    r"\text{当}$x\rightarrow +\infty $",color=RED
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-40,-5,0])
        self.play(Write(text2))
        text3 = Tex(
                    r"$\left( e^{-\cos \frac{1}{x}}-e^{-1}\right) x^{k}$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-20,-5,0])
        self.play(Write(text3))
        text4 = Tex(
                    r"\text{等价于}$\dfrac{1}{2x^{2-k}}$",color=PURPLE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([1,-5,0])
        self.play(Write(text4))

        text9 = Tex(
                    r"\text{与}$\dfrac{1}{x^{2-k}}$\text{同趋势}",color=BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([20, -5, 0])
        self.play(Write(text9))
        text11 = Tex(
                    r"\text{2-k>1时(收敛)}",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(8.0).move_to([15,-15,0])
        self.play(Write(text11))

        self.wait()